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Finding the Third Proportional to 51,359,371,580 and 104,162,851,912

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Solution

The third proportional to 51,359,371,580 and 104,162,851,912 is: 211,254,526,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,359,371,580 : 104,162,851,912 = 104,162,851,912 : x
  2. Step 2: Convert to fraction form
    51,359,371,580/104,162,851,912 = 104,162,851,912/x
  3. Step 3: Cross multiply
    51,359,371,580x = 104,162,851,912 × 104,162,851,912
  4. Step 4: Simplify right side
    51,359,371,580x = 10,849,899,718,441,242,198,016
  5. Step 5: Solve for x
    x = 10,849,899,718,441,242,198,016/51,359,371,580
  6. Step 6: Final answer
    x = 211,254,526,382.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.